29248806900 has 144 divisors (see below), whose sum is σ = 87518509568. Its totient is φ = 7534080000.

The previous prime is 29248806883. The next prime is 29248806943. The reversal of 29248806900 is 960884292.

It is a super-2 number, since 2×29248806900² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29248806900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5586684 + ... + 5591916.

Almost surely, 2^29248806900 is an apocalyptic number.

29248806900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29248806900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43759254784).

29248806900 is an abundant number, since it is smaller than the sum of its proper divisors (58269702668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29248806900 is a wasteful number, since it uses less digits than its factorization.

29248806900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 29248806900 in words is "twenty-nine billion, two hundred forty-eight million, eight hundred six thousand, nine hundred".